<abstract xmlns="http://www.w3.org/1999/xhtml"><p>It is shown that the isometry group of the de Sitter spacetime includes two different three-dimensional Abelian subgroups which transform between themselves through a discrete isometry corresponding to the time reversal in the five-dimensional Minkowski spacetime embedding the de Sitter one. The eigenfunctions of the generators of these Abelian subgroups form two different sets of quantum modes correlated by the mentioned isometry.</p></abstract>

It is shown that the isometry group of the de Sitter spacetime includes two different three-dimensional Abelian subgroups which transform between themselves through a discrete isometry corresponding to the time reversal in the five-dimensional Minkowski spacetime embedding the de Sitter one. The eigenfunctions of the generators of these Abelian subgroups form two different sets of quantum modes correlated by the mentioned isometry.

Discrete <italic>O</italic>(1,4) Transformations And New Scalar Quantum Modes On The De Sitter Spacetime

West University of Timişoara, V. Parvan Ave. 4, RO-300223 Timişoara, Romania

Annals of West University of Timisoara - Physics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Discrete (1,4) Transformations And New Scalar Quantum Modes On The De Sitter Spacetime

It is shown that the isometry group of the de Sitter spacetime includes two different three-dimensional Abelian subgroups which transform between themselves...

Discrete O(1,4) Transformations And New Scalar Quantum Modes On The De Sitter Spacetime

Published Online: Oct 05, 2015

Page range: 38 - 42

Received: Dec 28, 2011

Accepted: Jan 19, 2012

DOI: https://doi.org/10.1515/awutp-2015-0006

Keywords
de Sitter, isometries, discrete isometries, scalar quantum modes

© Ion I. Cotăescu

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Discrete O(1,4) Transformations And New Scalar Quantum Modes On The De Sitter Spacetime

Published Online: Oct 05, 2015

Page range: 38 - 42

Received: Dec 28, 2011

Accepted: Jan 19, 2012

DOI: https://doi.org/10.1515/awutp-2015-0006

Keywordsde Sitter, isometries, discrete isometries, scalar quantum modes

© Ion I. Cotăescu

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
de Sitter, isometries, discrete isometries, scalar quantum modes